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378583255680 = 27357436110739
BaseRepresentation
bin1011000001001010101…
…00100000101010000000
31100012012010012000220020
411200211110200222000
522200314303140210
6445530241013440
736231434402130
oct5404524405200
91305163160806
10378583255680
11136613418403
1261456924280
13299145a1676
1414475a8aac0
159cab5cb770
hex5825520a80

378583255680 has 512 divisors, whose sum is σ = 1434465331200. Its totient is φ = 83127582720.

The previous prime is 378583255669. The next prime is 378583255717. The reversal of 378583255680 is 86552385873.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35247751 + ... + 35258489.

It is an arithmetic number, because the mean of its divisors is an integer number (2801690100).

Almost surely, 2378583255680 is an apocalyptic number.

378583255680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378583255680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717232665600).

378583255680 is an abundant number, since it is smaller than the sum of its proper divisors (1055882075520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

378583255680 is a wasteful number, since it uses less digits than its factorization.

378583255680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10872 (or 10860 counting only the distinct ones).

The product of its (nonzero) digits is 48384000, while the sum is 60.

The spelling of 378583255680 in words is "three hundred seventy-eight billion, five hundred eighty-three million, two hundred fifty-five thousand, six hundred eighty".